Answer:
6. 72 m²
7. 1152 tiles
Explanation:
6. Determination of the area of the dance floor.
Length (L) = 9 m
Width (W) = 8 m
Area (A) =?
Area of the floor (rectangle) = L × W
A = 9 × 8
A = 72 m²
Therefore, the area of the dance floor is 72 m²
7. Determination of the number of tiles needed for the dance floor.
We'll begin by converting the dimension of the tile to metre (m). This can be obtained as follow:
100 cm = 1 m
Therefore,
25 cm = 25 cm × 1 m / 100 cm
25 cm = 0.25 m
Thus, the dimension of the tile is 0.25 m by 0.25 m
Next, we shall determine the area of the tile. This can be obtained as follow:
Dimension of tile = 0.25 m by 0.25 m
Area of tile = 0.25 × 0.25
Area of tile = 0.0625 m²
Finally, we shall determine the number of tile needed. This can be obtained as follow:
Area of the floor (Aₔ) = 72 m²
Area of tile (Aₜ) = 0.0625 m²
Number of tile (n) =?
n = Aₔ / Aₜ
n = 72 / 0.0625
n = 1152 tiles
Therefore, the number of tiles needed for the dance floor is 1152 tiles